Factoring for a publication

[Max0526]

Originally Posted by Max0526

Number theory homework for a person who processed without booking: https://www.research.ibm.com/haifa/p.../June2021.html
I found only two below googol. It's a friendly challenge to find the highest number you can (and maybe get ** for your solution). Very different skill from ECMing. Or wait, is it?

My solutions got accepted with a *.

[LaurV]

Originally Posted by Max0526

My solutions got accepted with a *.

We have a subforum for all of those, where people pull out each-other's eyes for years. Look for "June 2021".

[EdH]

(12, 0) is fully factored.

[Max0526]

Originally Posted by EdH

(12, 0) is fully factored.

Awesome, EdH!
(12, 3) and (12, 4) may still be factorable by SNFS in stage 12.
(11, 5) is an easier SNFS.
I can also provide spun GNFS CADO polys for (13, 1), (12, 5), (11, 8), (5, 11), (10, 8).

[EdH]

Originally Posted by Max0526

Awesome, EdH!
(12, 3) and (12, 4) may still be factorable by SNFS in stage 12.
(11, 5) is an easier SNFS.
I can also provide spun GNFS CADO polys for (13, 1), (12, 5), (11, 8), (5, 11), (10, 8).

If you're saying (11, 8) c153 is available, I'll do that one this afternoon. I have something else running right now.

[Max0526]

Originally Posted by EdH

If you're saying (11, 8) c153 is available, I'll do that one this afternoon. I have something else running right now.

Thank you!
Line 192 (11, 8) is booked for EdH.
(11, 8) http://factordb.com/index.php?id=1100000002609395240 c153 (t35 done), GNFS-able (booked for EdH) thyrex -- 3; EdH is on c153

[fivemack]

Mon Jun 21 18:59:28 2021  p64 factor: 1338390497207220199271164911882588356198888527524342903132072077
Mon Jun 21 18:59:28 2021  p95 factor: 22622243711548306451401150214434570799611674261075458168350663297365024585781548075317908345681

About 2000 thread-hours on 20-core Broadwell Xeon plus an hour for a 2.64M matrix.

I'm going back to my 207-digit GNFS Fibonacci number now; I'm glad I was able to contribute a bit to this project.

[Max0526]

Originally Posted by fivemack

Mon Jun 21 18:59:28 2021  p64 factor: 1338390497207220199271164911882588356198888527524342903132072077
Mon Jun 21 18:59:28 2021  p95 factor: 22622243711548306451401150214434570799611674261075458168350663297365024585781548075317908345681

About 2000 thread-hours on 20-core Broadwell Xeon plus an hour for a 2.64M matrix.

I'm going back to my 207-digit GNFS Fibonacci number now; I'm glad I was able to contribute a bit to this project.

Thank you so much, fivemack!

[EdH]

Is the c146 [line 179 (1, 11)] unreserved? What about the c149 [line 175 (1, -10)]?

If you're not in a hurry and they are free, you can book them to me.

[swishzzz]

Originally Posted by EdH

Is the c146 [line 179 (1, 11)] unreserved? What about the c149 [line 175 (1, -10)]?

If you're not in a hurry and they are free, you can book them to me.

Done - reserved both for EdH.

[Max0526]

Is anybody interested in finishing the line and bridging the gap on line 195?
It is the easiest SNFS quartic left.
(11, 5) http://factordb.com/index.php?id=1100000002604293386 c173/snfs173 (t40 done, SNFS ready), SNFS 173 quartic
Three best spun polys are below.

Line 1 : {'c4': '1', 'c3': '-2', 'c2': '5', 'c1': '-64', 'c0': '124', 'Y1': '2464923994894748333085552144178005910583918', 'Y0': '9056085493821535685614264363748716497635717'}

n: 26136836624679767220745077976807695488495872888494944933071363254976364769332312364964027562827985651661887869451641909208612879423669912281351787208216619816958405062265809
# e = 1.01521525e-10
skew: 3.29282
type: snfs
c4: 1
c3: -2
c2: 5
c1: -64
c0: 124
Y1: 2464923994894748333085552144178005910583918
Y0: 9056085493821535685614264363748716497635717

Line 2 : {'c4': '1', 'c3': '2', 'c2': '5', 'c1': '-56', 'c0': '64', 'Y1': '2464923994894748333085552144178005910583918', 'Y0': '11521009488716284018699816507926722408219635'}

n: 26136836624679767220745077976807695488495872888494944933071363254976364769332312364964027562827985651661887869451641909208612879423669912281351787208216619816958405062265809
# e = 1.01412222e-10
skew: 3.09796
type: snfs
c4: 1
c3: 2
c2: 5
c1: -56
c0: 64
Y1: 2464923994894748333085552144178005910583918
Y0: 11521009488716284018699816507926722408219635

Line 3 : {'c4': '1', 'c3': '-6', 'c2': '17', 'c1': '-84', 'c0': '196', 'Y1': '2464923994894748333085552144178005910583918', 'Y0': '6591161498926787352528712219570710587051799'}

n: 26136836624679767220745077976807695488495872888494944933071363254976364769332312364964027562827985651661887869451641909208612879423669912281351787208216619816958405062265809
# e = 1.01026055e-10
skew: 3.38354
type: snfs
c4: 1
c3: -6
c2: 17
c1: -84
c0: 196
Y1: 2464923994894748333085552144178005910583918
Y0: 6591161498926787352528712219570710587051799